The vector equation of the line passing through the point having position vector \(4\hat i - \hat j + 2\hat k\) and parallel to vector \(-2\hat i - \hat j + \hat k\) is given by _____.
Q.1 (iv) The vector equation of the line passing through the point having position vector \(4\hat i - \hat j + 2\hat k\) and parallel to vector \(-2\hat i - \hat j + \hat k\) is given by _____.
A. \((4\hat i - \hat j - 2\hat k) + \lambda(-2\hat i - \hat j + \hat k)\)
B. \((4\hat i - \hat j + 2\hat k) + \lambda(2\hat i - \hat j + \hat k)\)
C. \((4\hat i - \hat j + 2\hat k) + \lambda(-2\hat i - \hat j - \hat k)\)
D. \((4\hat i - \hat j + 2\hat k) + \lambda(-2\hat i - \hat j + \hat k)\)